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Finding the Third Proportional to 103,302 and 226,260

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Solution

The third proportional to 103,302 and 226,260 is: 495,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,302 : 226,260 = 226,260 : x
  2. Step 2: Convert to fraction form
    103,302/226,260 = 226,260/x
  3. Step 3: Cross multiply
    103,302x = 226,260 × 226,260
  4. Step 4: Simplify right side
    103,302x = 51,193,587,600
  5. Step 5: Solve for x
    x = 51,193,587,600/103,302
  6. Step 6: Final answer
    x = 495,572.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.